#1924 closed defect (cannot reproduce)

NetBSD < 6.0 /dev/random appears to break RSA keygen in test suites

Reported by: midnightmagic Owned by:
Priority: major Milestone: undecided
Component: code Version: 1.9.2
Keywords: netbsd random cryptopp Cc:
Launchpad Bug:

Description (last modified by zooko)

It *looks* as though the NetBSD /dev/random from earlier than 6.0 (prior to Thor's patch which overhauled it to supply unlimited amounts of random data) does not supply enough bytes to get Tahoe LAFS through the test phase *at all times*.

If you turn off all sources of mixed entropy via NetBSD rndctl, and exhaust it continuously (cat /dev/random > /dev/null) it is possible to reproduce the issue semi-regularly.

It manifests as failed RSA invertibility tests in the test suite.

Running crypto++ test binary under the same conditions makes crypto++ complain bitterly about how long it has to wait for random bytes to be supplied from /dev/random, but it does not technically fail: just complain about it.

I believe it is this issue which is not being handled correctly.

I have no direct evidence this is so.

Updating to NetBSD >= Thor's /dev/random overhaul appears to correct the issue.

Change History (36)

comment:1 Changed at 2013-02-26T20:49:48Z by davidsarah

Isn't this a pycryptopp bug rather than a Tahoe bug? Also, if there's a problem with how pycryptopp responds to the warnings from Crypto++, then updating NetBSD is only hiding that problem.

comment:2 Changed at 2013-02-26T21:10:57Z by midnightmagic

This may be a pycryptopp bug. I wasn't sure where to put it because it only seems to show up in the Tahoe unit tests.

Correct, updating the kernel only hides the bug.

comment:3 Changed at 2013-02-27T01:22:37Z by gdt

The behavior of random(4) on NetBSD 6 is actually a bit more complicated; a single open and read of lots of data uses up some bits, but repeated reads will still drain the pool and cause blocking. By definition, random(4) is supposed to block rather than return bits without defensible entropy, while urandom(4) is supposed to return pretty good bits.

In actual use, presumably blocking is better than bad security properties.

So I'd say the test harness should do some combination of

  • refrain from over-using random bits
  • use urandom(4) instead (which is a scary/invasive change)
  • warn the user to address entropy generation (can be very hard in VMs)
  • accept that it may take a very long time to run

(I am assuming that the random/urandom distinction is portable; my understanding is that while NetBSD and Linux have different implementations there has been a common view of the top-level specifications of how this should behave.)

comment:4 Changed at 2013-02-27T01:59:24Z by midnightmagic

For more information and a much more in-depth discussion (for future readers) including information alluded to above, and the nature of when it *might* block, the new /dev/random in NetBSD we are talking about is introduced and beaten soundly about the head here:

http://mail-index.netbsd.org/tech-kern/2011/12/09/msg012085.html

OpenBSD has gone a bit of a different route: /dev/random is the same as /dev/urandom:

http://comments.gmane.org/gmane.os.openbsd.misc/189670

Note that under no circumstances have I ever been able to reproduce the issue described here under the new 6.x kernel. However much strain Tahoe unit tests place on the system, it supplies enough bytes not to trip us up now.

I do not know enough about pycryptopp's use of crypto++ to know what it does with the crypto++ complaint about /dev/random read latencies.

comment:5 Changed at 2013-03-05T17:30:14Z by davidsarah

  • Keywords random added; /dev/random removed

comment:6 Changed at 2013-03-05T17:30:32Z by davidsarah

  • Keywords cryptopp added

comment:7 Changed at 2013-03-11T04:57:18Z by zooko

So the way this bug manifests is that Crypto++ gets an internal inconsistency, saying "InvertibleRSAFunction: computational error during private key operation". The only place in Crypto++ which emits that exception message is trac/pycryptopp/browser/git/src-cryptopp/rsa.cpp.

This is a self-test which Crypto++ always does internally, checking that if it has computed y to be the "RSA inverse" of x mod N that then yᵉ = x mod N. This internal consistency check fails frequently on midnightmagic's NetBSD 5 machine when the "entropy level" of /dev/urandom is drained.

Now, the thing about this is that the blocking or non-blocking or delaying behavior of /dev/urandom cannot be a legitimate excuse for this internal check to fail! There has to be a bug, either in Crypto++, in the compiler, or in the kernel, in order to let this inconsistency happen.

Here's a typical example of the error, on midnightmagic's NetBSD 5 buildslave:

https://tahoe-lafs.org/buildbot-pycryptopp/builders/MM%20netbsd5%20i386%20warp/builds/146/steps/bench/logs/stdio

In case that is no longer available, here is a copy of it for posterity:

 (view as text)

python setup.py bench
 in dir /home/pycryptopp/buildslave/pycryptopp/MM_netbsd5_i386_warp/build (timeout 14400 secs)
 watching logfiles {}
 argv: ['python', 'setup.py', 'bench']
 environment:
  EDITOR=joe
  ENV=/home/pycryptopp/.shrc
  EXINIT=set autoindent
  HISTFILESIZE=100000
  HISTSIZE=100000
  HOME=/home/pycryptopp
  LESS=-X
  LOGNAME=pycryptopp
  OLDPWD=/home/pycryptopp
  PAGER=more
  PATH=/home/pycryptopp/bin:/bin:/sbin:/usr/bin:/usr/sbin:/usr/X11R7/bin:/usr/X11R6/bin:/usr/pkg/bin:/usr/pkg/sbin:/usr/games:/usr/local/bin:/usr/local/sbin
  PWD=/home/pycryptopp/buildslave/pycryptopp/MM_netbsd5_i386_warp/build
  PYTHONPATH=/home/pycryptopp/lib/python2.6/site-packages
  SHELL=/usr/pkg/bin/bash
  SHLVL=1
  SU_FROM=root
  TERM=xterm
  USER=pycryptopp
  _=/home/pycryptopp/bin/buildslave
 using PTY: False
running bench
terminate called after throwing an instance of 'CryptoPP::Exception'
  what():  InvertibleRSAFunction: computational error during private key operation
<class 'pycryptopp.bench.bench_sigs.ECDSA256'>
generate key
best: 1.194e-01,   3th-best: 1.195e-01, mean: 1.196e-01,   3th-worst: 1.196e-01, worst: 1.198e-01 (of      9)
sign
best: 3.679e+00,   1th-best: 3.679e+00, mean: 3.679e+00,   1th-worst: 3.679e+00, worst: 3.679e+00 (of      1)
verify
best: 1.282e+01,   1th-best: 1.282e+01, mean: 1.282e+01,   1th-worst: 1.282e+01, worst: 1.282e+01 (of      1)

<class 'pycryptopp.bench.bench_sigs.Ed25519'>
generate key
best: 3.968e+00,   1th-best: 3.968e+00, mean: 3.968e+00,   1th-worst: 3.968e+00, worst: 3.968e+00 (of      1)
sign
best: 4.589e+00,   1th-best: 4.589e+00, mean: 4.589e+00,   1th-worst: 4.589e+00, worst: 4.589e+00 (of      1)
verify
best: 1.221e+01,   1th-best: 1.221e+01, mean: 1.221e+01,   1th-worst: 1.221e+01, worst: 1.221e+01 (of      1)

<class 'pycryptopp.bench.bench_sigs.RSA2048'>
generate key
best: 5.225e+02,   1th-best: 5.225e+02, mean: 5.537e+02,   1th-worst: 5.848e+02, worst: 5.848e+02 (of      2)
sign
process killed by signal 6
program finished with exit code -1
elapsedTime=45.001851

(By the way, the fact that Crypto++ does this sort of internal self-check unconditonally (i.e., not only when built in some sort of "debug mode") is an example of the kind of careful cryptographic engineering which I appreciate about Crypto++.)

Midnightmagic upgraded various components of his computer until he had eventually replaced every single component of the computer and the error behavior never changed, so it can't be an actual hardware error. (Also, it would be a suspiciously specific sort of behavior for a hardware error.)

Midnightmagic figured out that it happened a lot more frequently when the "entropy pool" was running low.

I wrote this patch which removes use of the operating system's random number generator and instead hardcodes a seed so that the RNG generates the same sequence each time:

https://github.com/zooko/pycryptopp/commits/debug-netbsd-rsa

Midnightmagic ran with that patch intensively, for many hours and it never showed any failure.

Now Samuel "Dcoder" Neves and I poked through the relevant parts of the Crypto++ source code, and we didn't see any bug in there that could lead to this.

Hm...

You know what? Something midnightmagic mentioned about timing made me realize that there is a way that a timing race could cause exactly this observed failure. That is, see how in line 229 it sets r equal to a random number read from the operating system? And then on line 230 it sets rInv to the multiplicative inverse of r? And then later on line 233 it uses r for something else. Now, if there is a bug in the kernel such that it overwrote the contents of r's memory after line 229 — after the call to Randomize() returned — then that would cause this bug. So, look for a race condition/insufficient-locking in the NetBSD kernel such that reading from /dev/random causes your memory to get written to by the kernel after your read() has returned.

To help find such a bug, please try this patch:

https://github.com/zooko/pycryptopp/commits/debug-netbsd-rsa-2

This uses the standard (operating-system-provided) RNG, but does extra self-checks in search of the hypothesized "late memory overwrite" that I speculate about above.

Last edited at 2014-03-05T02:51:52Z by daira (previous) (diff)

comment:8 Changed at 2013-03-11T08:50:29Z by midnightmagic

I will test your debug routines. I am fairly confident that the only time this race might occur would be if there were another thread that were doing it incorrectly after the fact.

I wrote this in #tahoe-lafs a moment ago and realised I should put it in here instead:

There is a match between this error and the pycrypto++ self-test program that coincidentally happens (and doesn't happen) at exactly the same frequency as whether I have a high-supply /dev/random (netbsd6 kernel) or not (netbsd5 kernel).

Specifically, in the cryptest.exe program validation routines, it will *block* when reading from /dev/random, also the kernel itself sits there picking its nose "waiting" for "entropy".

Finally, it will emit an error.. but it won't actually exit. it just complains about the lack of bytes from /dev/random and then at the end of the validation it will insist the system failed some of the tests.

In wrapping crypto++, does pycryptopp disable any blocking reads from /dev/random in some fashion?

Here's the error under similar conditions to where the pycryptopp stuff is failing:

./cryptest.exe v
[...]
  Testing operating system provided blocking random number generator...
  FAILED:  it took 361 seconds to generate 1 bytes
[...]

I have now switched the buildmachine back to the NetBSD 5.x kernel which can be emptied of its entropy fairly easily, so don't kill the buildbots if they start choking. :-)

comment:9 Changed at 2013-03-11T12:19:18Z by gdt

I would be really surprised if read() returned and later memory got modified (because of that previous system call).

With threads, though, the usual issues about reuse of static buffers apply. Presumably that's not it or it woudl have shown up elsewhere.

I wonder about a test entropy source that sometimes takes a long time, and sometimes returns fewer bytes than requested, as a way to make the tests more harsh. This could perhaps be done by stubbing the read with a routine that does the actual read, and then maybe sleeps, and maybe adjusts the bytes read.

comment:10 Changed at 2013-03-11T16:42:11Z by zooko

Finally, it will emit an error.. but it won't actually exit. it just complains about the lack of bytes from /dev/random and then at the end of the validation it will insist the system failed some of the tests.

What error message? Thanks!

comment:11 Changed at 2013-03-11T16:49:41Z by zooko

In wrapping crypto++, does pycryptopp disable any blocking reads from /dev/random in some fashion?

Oooh.

    AutoSeededRandomPool osrng(false);

from:

trac/pycryptopp/browser/git/src/pycryptopp/publickey/rsamodule.cpp

The false is the argument to the parameter "blocking": trac/pycryptopp/browser/git/src-cryptopp/osrng.h.

However, I still refuse to believe that if I tell it to use an RNG in non-blocking mode, and the OS is providing an underlying RNG which is blocking, that this means it generates a yᵉ ≠ x mod N. What it should do if I require non-blocking and the underlying pool is blocking is either use a non-blocking underlying pool (/dev/urandom), or raise an exception.

comment:12 Changed at 2013-03-11T16:57:02Z by gdt

If you put /dev/random in non-blocking mode, the correct behavior from the OS viewpoint is on read of N bytes to return as many bytes are available, if >=1, or to return EWOULDBLOCK. So the caller should expect that get N bytes might return fewer.

comment:13 follow-up: Changed at 2013-04-11T06:20:04Z by zooko

Ah, I see that the comment in trac/pycryptopp/browser/git/src-cryptopp/osrng.h says:

	//! use blocking to choose seeding with BlockingRng or NonblockingRng. the parameter is ignored if only one of these is available

So apparently NetBSD (at least old NetBSD 5.x?) does not have a non-blocking PRNG, so the fact that we pass false there, requesting a non-blocking PRNG, should be ignored. Aha! This looks like the bug, then:

config.h says that if this is a Unix then it has a non-blocking PRNG.

Is that the bug? Should we add some conditions to config.h so that it won't define NONBLOCKING_RNG_AVAILABLE on NetBSD?

comment:14 in reply to: ↑ 13 Changed at 2013-04-11T06:39:53Z by zooko

Replying to zooko:

Is that the bug? Should we add some conditions to config.h so that it won't define NONBLOCKING_RNG_AVAILABLE on NetBSD?

Well, no, the only effect of defining NONBLOCKING_RNG_AVAILABLE (on unix) is to define a class that reads from /dev/urandom:

osrng.cpp

So, hold on, what's the behavior on NetBSD again? Reconsider all of the above in light of the fact that pycryptopp has been reading exclusively from /dev/urandom on NetBSD and never from /dev/random all this time.

So in that case, midnightmagic's observations imply that when the entropy pool has been sucked dry, then something about reading from /dev/urandom causes Crypto++ to generate inconsistent internal values. This is doubly weird, because:

(a) reading from /dev/urandom should not be detectably (to the Crypto++ code) different whether the entropy pool is brimming or dry, right? Or is there something really different about NetBSD 5.x /dev/urandom than Linux /dev/urandom here?,

and

(b) no matter what the result of reading from /dev/urandom (in osrng.cpp), this shouldn't cause Crypto++ to generate internally inconsistent values for its RSA digital signatures.

Note that the reads from /dev/urandom check whether the OS returned the expected number of bytes as the return value from read().

I don't see how any possible behavior of the OS'es read() call could cause the observed failure in Crypto++. The only thing that I can imagine causing this result would be if read() returned (returning the expected "number of bytes read" -- size) and then later the output buffer output got overwritten by the kernel in the middle of Crypto++'s computations using that output buffer.

Samuel Neves suggested something on IRC to the effect that stack corruption could also explain the observed fault. Oh, I wonder if the kernel could sometimes be buffer-overrunning output? Copying more than size bytes into it?

midnightmagic: could you please run the tests with the https://github.com/zooko/pycryptopp/commits/debug-netbsd-rsa-2 patches applied? Thanks!

comment:15 follow-up: Changed at 2013-04-11T06:55:10Z by zooko

Awesome -- I remembered that I can test builds on midnightmagic's computer without his intervention, by pushing patches to github and then telling the buildbot to build that branch. If midnightmagic wants to experiment with the debug-netbsd-2 branch, that would be good, too, but it is building right now on the buildbot:

https://tahoe-lafs.org/buildbot-pycryptopp/waterfall?last_time=1365663289

comment:16 in reply to: ↑ 15 ; follow-up: Changed at 2013-04-11T07:06:57Z by zooko

Replying to zooko:

Awesome -- I remembered that I can test builds on midnightmagic's computer without his intervention, by pushing patches to github and then telling the buildbot to build that branch. If midnightmagic wants to experiment with the debug-netbsd-2 branch, that would be good, too, but it is building right now on the buildbot:

https://tahoe-lafs.org/buildbot-pycryptopp/waterfall?last_time=1365663289

Well, damn. My "look for buffer overrun from read()" hack did not report any buffer overrun, but the internal error in Crypto++ still happens:

https://tahoe-lafs.org/buildbot-pycryptopp/builders/MM%20netbsd5%20i386%20warp/builds/150

comment:17 in reply to: ↑ 16 Changed at 2013-04-11T07:07:29Z by zooko

I'm stumped. Help!

comment:18 Changed at 2013-04-11T07:10:13Z by zooko

Huh, and it also passed by all of my clever checks for internal consistency -- https://github.com/zooko/pycryptopp/commit/a7f5955a576734396a54f5c10497c84018022691 -- and yet still triggered on the final Crypto++ check for internal consistency! https://tahoe-lafs.org/buildbot-pycryptopp/builders/MM%20netbsd5%20i386%20warp/builds/150/steps/bench/logs/stdio Curiouser and curiouser!

I'm still stumped, and I still need help.

comment:19 Changed at 2013-04-11T07:39:37Z by zooko

Okay, here's another experiment. As described over at pycryptopp #85, I just triggered a build of a patch to define CRYPTOPP_DISABLE_ASM=1:

https://tahoe-lafs.org/trac/pycryptopp/ticket/85#comment:5

comment:20 Changed at 2013-04-11T08:10:09Z by midnightmagic

The benchmark is or was using /dev/random, which is blocking:

<class 'pycryptopp.bench.bench_sigs.RSA2048'> generate key best: 5.075e+01, 3th-best: 1.051e+02, mean: 1.349e+02, 3th-worst: 1.540e+02, worst: 2.239e+02 (of 8) sign Cterminate called after throwing an instance of 'CryptoPP::OS_RNG_Err'

what(): OS_Rng: read /dev/random operation failed with error 4

Abort trap (core dumped)

NOTE later: nevermind, fresh ktrace shows /dev/urandom is being used now. It's possible the above was artifact of an old test. How does one delete one of these comments anyway?

Last edited at 2013-04-11T08:42:20Z by midnightmagic (previous) (diff)

comment:21 Changed at 2013-04-11T15:18:19Z by gdt

I am trying to follow this and so far it looks like there is some subtle bug which has not been found. If you do find behavior in NetBSD that you think is actually wrong please let me know.

Another thing to keep in mind is that NetBSD has opencrypto(9) support (originally from OpenBSD, I think), which lets kernel crypto operations be offloaded to hardware coprocessors or other cpus. There is also support for openssl(3) to do offload via a /dev node. So in testing, one may want to disable that, as it's another source of complexity and possible bugs.

Another thing would be to try to bisect the code path in the failing test to add intermediate checks, to try to find more precisely where the problem is happening.

comment:22 Changed at 2013-04-12T16:46:50Z by zooko

I posted an update on the Crypto++ mailing list: https://groups.google.com/forum/?fromgroups=#!topic/cryptopp-users/qGIdqp3MIgg

pycryptopp #85 appears to be on the way to fixing this bug, but it is somewhat dissatisfying since I don't know _exactly_ why pycryptopp #85 fixes it.

comment:23 Changed at 2013-07-17T16:41:53Z by zooko

  • Description modified (diff)

Just an update: this ticket is not getting much love from me because pycryptopp #85 makes it stop happening when pycryptopp compiles libcryptopp. However, pycryptopp #85 presumably has no effect when the libcryptopp was compiled by something else and pycryptopp is just linking to it, so this bug could still affect a user in that case.

Also, of course, this could actually be a bug in Crypto++, a bug in pycryptopp, a bug in gcc, a bug in a backdoor in the compiler that was used to compile the compiler that was used to compile gcc, etc. Until we know what this is, we can never be sure of what it isn't.

Okay, here comes a summary of what I know about this bug. The main theme is that it is probably a bug in NetBSD v5, but we're not 100% sure of that.

The effect of the bug is that Crypto++'s internal consistency check on RSA multiplication fails, like this:

terminate called after throwing an instance of 'CryptoPP::Exception'
  what():  InvertibleRSAFunction: computational error during private key operation

Here's an example of that happening on midnightmagic's buildslave running NetBSD v5: https://tahoe-lafs.org/buildbot-pycryptopp/builders/MM%20netbsd5%20i386%20warp/builds/150/steps/bench/logs/stdio

This is reproducible on midnightmagic's machine, but only when the "entropy pool" that feeds /dev/random is depleted. Now this part is insane and means we have entered and alternate dimension in which time and space are not as we know them. Because, pycryptopp never reads from /dev/random! It only reads from /dev/urandom. Nevertheless, midnightmagic confirms that when the entropy pool is full, this bug never (or almost never?) manifests, and when the entropy pool is depleted, this bug is very reproducible.

midnightmagic: please confirm for the Nth time that I haven't misremembered the above.

If the above is true, then it strongly suggests a bug in the kernel which, in the case that the entropy pool is depleted when you read from /dev/urandom, corrupts some memory or something. One thing that would be strange about that is why only this particular RSA internal consistency check ever suffers ill effects from this proposed corruption.

Another explanation besides the "alternate dimension" explanation is that Russian blackhats are using midnightmagic's NetBSD 5 buildslave as a training ground for new recruits.

It would be interesting to see if anyone else can reproduce this bug on their NetBSD 5 system.

Okay, here's the next thing that I know about this bug: that I added more internal consistency checks to the code, and triggered midnightmagic's buildslave to run it, and what I found was that my new internal consistency checks passed (and they ran after the read from /dev/urandom), but then a few instructions later Crypto++'s original internal consistency check failed. Here, look at the code to see what I mean:

Original version from Crypto++:

http://sourceforge.net/p/cryptopp/code/433/tree/trunk/c5/rsa.cpp#l223

Version with my added internal consistency checks:

https://github.com/zooko/pycryptopp/blob/a7f5955a576734396a54f5c10497c84018022691/src-cryptopp/rsa.cpp#L224

Okay, that's the summary.

Suggested next-steps:

Someone please try to reproduce this on a NetBSD v5 machine that is unlikely to be controlled by the same Russian blackhat trainees as midnightmagic's machine. The steps to reproduce are:

git clone https://github.com/tahoe-lafs/pycryptopp.git 
cd pycryptopp
python setup.py build
while [ 1 ] ; do
  python setup.py bench
done

comment:24 Changed at 2013-07-17T17:05:34Z by midnightmagic

Hi zooko,

Yes, it is very reproducible, and it is exactly as reproducible as the error message from cryptest.exe test program from crypto++. :-( It's not a bug in the kernel though, unless you consider blocking on /dev/random to be a bug. I'm not sure I do.

Further steps to reproduce are:

. TURN OFF all entropy sources via rndctl . ACTIVELY DRAIN /dev/random by cat /dev/random > /dev/null . WATCH to ensure that there are 0 bytes of entropy in the pool via rndctl . (Optional) Build a bunch of other stuff that uses /dev/random during their test suites

Version 0, edited at 2013-07-17T17:05:34Z by midnightmagic (next)

comment:25 follow-up: Changed at 2013-07-17T17:36:01Z by daira

Zooko: how do you know that pycryptopp never reads from /dev/random?

comment:26 in reply to: ↑ 25 Changed at 2013-07-17T20:17:38Z by zooko

Replying to daira:

Zooko: how do you know that pycryptopp never reads from /dev/random?

comment:13 and comment:14 are my notes about reading the source code and concluding that pycryptopp's use of the OS's entropy source was solely through /dev/urandom. Also midnightmagic checked with ktrace and found only use of /dev/urandom (comment:20).

comment:27 Changed at 2013-07-17T20:19:51Z by zooko

Oh, one more important clue that I neglected to include in my summary (comment:23), is that I made a version that replaced the OS's entropy source with an in-process deterministic PRNG, and that version ran for many hours on midnightmagic's machine without triggering this exception.

That version is visible here: https://github.com/zooko/pycryptopp/commit/ce369bfe97e67a94f9a02752f348f8de40763053

comment:28 Changed at 2013-07-17T20:51:54Z by daira

Maybe there is a bug in the affected NetBSD versions' /dev/urandom code that returns a particular pattern, say all-zeroes, when the /dev/random entropy pool is empty, and another bug in the Crypto++ RSA code that causes it to fail with that pattern?

I'm clutching at straws :-/

comment:29 follow-up: Changed at 2013-07-17T20:54:38Z by daira

How about logging to a file the randomness returned by the Crypto++ RNG when the bug is reproducible, and checking whether it is seems to be actually random?

Last edited at 2013-07-18T01:45:48Z by daira (previous) (diff)

comment:30 in reply to: ↑ 29 Changed at 2013-07-17T21:14:03Z by zooko

Replying to daira:

How about logging to a file the randomness returned by the Crypto++ RNG when the bug is reproducible, and checking whether it is actually random?

Good idea.

comment:31 Changed at 2013-07-19T21:46:01Z by midnightmagic

midnightmagic current TO-DO:

. i386 bare hardware repro
. both a netbsd-5 kernel and a netbsd-6 kernel, with RND_VERBOSE and RND_DEBUG enabled, and with `int rnd_debug = 0xf;' in sys/dev/rnd.c (netbsd-5) or sys/kern/kern_rndq.c (netbsd-6)
. (optional) As for the RSA issue -- can you figure out how to print the Integer objects in a way that you can reliably read back in a test program that does the same computation as InvertibleRSAFunction::CalculateInverse?  (m_n, m_e, r, rInv, re (before and after modn.Multiply), y)

comment:32 Changed at 2013-10-31T19:57:34Z by zooko

I currently consider this irreproducible, and welcome both midnightmagic and also some other independent NetBSD-lover to try to reproduce it and report back here!

comment:33 Changed at 2016-01-03T23:19:36Z by zooko

  • Resolution set to fixed
  • Status changed from new to closed

This bug was always very hard to reproduce, but at one point I claimed that disabling asm fixed it. Therefore, now that we've landed #85, I'm going to close this ticket as, uh, ... fixed.

comment:35 Changed at 2016-01-14T17:54:20Z by daira

  • Resolution fixed deleted
  • Status changed from closed to reopened

comment:36 Changed at 2016-01-14T17:55:01Z by daira

  • Resolution set to cannot reproduce
  • Status changed from reopened to closed
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